en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x-2)^2(x-3)

Solution

expand

(x - 2)^{2} (x - 3)

Solution

x^{3} - 7 x^{2} + 16 x - 12

Solution steps

(x - 2)^{2} (x - 3)

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= (x^{2} - 4 x + 4) (x - 3)

Distribute parentheses

= x^{2} x + x^{2} (- 3) - 4 xx - 4 x (- 3) + 4 x + 4 (- 3)

Simplify

x^{2} x + x^{2} (- 3) - 4 xx - 4 x (- 3) + 4 x + 4 (- 3) : x^{3} - 7 x^{2} + 16 x - 12

= x^{3} - 7 x^{2} + 16 x - 12

Popular Examples

simplify (sqrt(-5)+2sqrt(20))(-sqrt(-5))simplify

(- 5 + 220) (- - 5)

simplify (36x^5+9x^2)/(3x)simplify

\frac{36 x ^{5} + 9 x ^{2}}{3 x}

simplify (\frac{21m^7)/(8n^3)}{(7m^8)/(12n^4)}simplify

\frac{\frac{21 m ^{7}}{8 n ^{3}}}{\frac{7 m ^{8}}{12 n ^{4}}}

simplify-i^5 simplify

- i^{5}

simplify (x+2)/(3x)+(x^2-2)/(5x^2)+(2-x^3)/(9x^3)simplify

\frac{x + 2}{3 x} + \frac{x ^{2} - 2}{5 x ^{2}} + \frac{2 - x ^{3}}{9 x ^{3}}

Frequently Asked Questions (FAQ)

What is expand (x-2)^2(x-3) ?
The solution to expand (x-2)^2(x-3) is x^3-7x^2+16x-12